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414100013411301 = 37232713163652857
BaseRepresentation
bin101111000100111110010110…
…0001100110110101111100101
32000022012120111221001202222220
41132021330230030312233211
5413234103311413130201
64024414530412342553
7153136511236266420
oct13611745414665745
92008176457052886
10414100013411301
1110aa439140074a8
123a53b434774a59
1314a0a6049c88c9
1474387948289b7
1532d1a59515036
hex1789f2c336be5

414100013411301 has 32 divisors (see below), whose sum is σ = 660874427424768. Its totient is φ = 225505175575680.

The previous prime is 414100013411299. The next prime is 414100013411309. The reversal of 414100013411301 is 103114310001414.

It is not a de Polignac number, because 414100013411301 - 21 = 414100013411299 is a prime.

It is a super-2 number, since 2×4141000134113012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414100013411309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1581695536 + ... + 1581957321.

It is an arithmetic number, because the mean of its divisors is an integer number (20652325857024).

Almost surely, 2414100013411301 is an apocalyptic number.

It is an amenable number.

414100013411301 is a deficient number, since it is larger than the sum of its proper divisors (246774414013467).

414100013411301 is a wasteful number, since it uses less digits than its factorization.

414100013411301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163653161.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 414100013411301 its reverse (103114310001414), we get a palindrome (517214323412715).

The spelling of 414100013411301 in words is "four hundred fourteen trillion, one hundred billion, thirteen million, four hundred eleven thousand, three hundred one".

Divisors: 1 3 7 21 23 69 161 271 483 813 1897 5691 6233 18699 43631 130893 3163652857 9490958571 22145569999 66436709997 72764015711 218292047133 509348109977 857349924247 1528044329931 2572049772741 6001449469729 18004348409187 19719048257681 59157144773043 138033337803767 414100013411301